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Finding the Fourth Proportional to 15,711.92, 21,682.80 and 8,638.64

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Solution

The fourth proportional to 15,711.92, 21,682.80 and 8,638.64 is: 11,921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.92 : 21,682.80 = 8,638.64 : x
  2. Step 2: Convert to fraction form
    15,711.92/21,682.80 = 8,638.64/x
  3. Step 3: Cross multiply
    15,711.92x = 21,682.80 × 8,638.64
  4. Step 4: Simplify right side
    15,711.92x = 187,309,903.39
  5. Step 5: Solve for x
    x = 187,309,903.39/15,711.92
  6. Step 6: Final answer
    x = 11,921.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.